Question

If A CB, then which of the following describes the relationship between A and B?

A.Set B may have more elements than A does.

B.The intersection of sets A and B must be the empty set.

C. Set A can have the same number of elements as set B.

D. Set B may have less elements than set A.​

Answer 1

A is subset of B

Means

All the elements of A are present in B

But we don't know how much elements are present in B

But we know that atleast equal to A elements present in B

So B may have more elements than A does

Option A

Answer 2

A. Set B may have more elements than A does.

Explanation:

"⊂" is the symbol for Proper Subset.

Therefore, "A ⊂ B" means A is a proper subset of B.

A Proper Subset is any subset of the set except itself.

Therefore, if set A is a proper subset of set B, then all elements of set A are in set B, but set B contains at least one element that is not in A.

For example, if set A has elements {1, 2, 3} and set B has elements {1, 2, 3, 4}, then set A is the proper subset of B because 4 is not in set A.

Conclusion

Set B may have more elements than A does.